The solution to the compound inequality given as 6b < 36 or 2b + 12 > 6 is b < 6 or b > -3
<h3>How to solve the
compound inequality?</h3>
The compound inequality is given as:
6b < 36 or 2b + 12 > 6
Evaluate the like terms in the individual inequalities
6b < 36 or 2b > -6
Divide the individual inequalities by the coefficients of b
b < 6 or b > -3
Hence, the solution to the compound inequality given as 6b < 36 or 2b + 12 > 6 is b < 6 or b > -3
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Answer:
40 mph
Step-by-step explanation:
140 / 3.5 = 40
he traveled 40 miles per hour
Check
40 x 3.5 = 120 + 20 = 140
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-Chetan K
Answer ↣ 12 gallons per minute
Step-by-step explanation ↣ Ok I'm gonna use ratios because I can't draw a graph here.
Ok so if the garden hose supplies 36 gallons of water in 3 minutes, then the ratio is 36:3 because every 3 minutes the garden hose "sprays" 36 gallons.
To simplify this ratio, you need find the amount of water the garden hose supplies in 1 minute.
Well to get from 3 to 1, you have to divide by 3.
Do the same thing to 36. 36/3 equals 12.
So the final ratio is 12:1
This is the unit rate. The unit rate is when one variable is 1 unit (most of the time it is speed).
You can multiply 1 by any number and multiply 12 by the same number.
Here are some ratios...
m=minutes
g=gallons
1m:12g
2m:24g
3m:36g
4m:48g
5m:60g
Hope this helped!
BTW why do I sound like this I'm not a aesthetic person-
Answer:
Rotation
Step-by-step explanation:
Let the train's original speed be s. Recall that distance = (speed)(time). Here, 150 miles = s(time), or 150 = s*t. If its original speed is increased by 5 mph, then the time required tomake the trip is 1 hour less than before;
distance = speed times time, so
150 mi = (s+5)(t-1). Let's eliminate t and solve for s:
Since 150 = s*t, t = 150/s. Subbing 150/s for t in the 2nd equation, we get:
150 s
150 mi = (s+5)(150/s - 1), or 150 = (s+5)(------- - ---- )
s s
Mult. both sides by s to elim. the fraction(s):
150s = (s+5)(150 - s)
Then 150s = 150s - s^2 + 750 - 5s, or
0 = -s^2 - 5s + 750
or 0 = s^2 + 5s - 750
Thus, 0 = (s-25)(s+30), and the roots are s=25 and-30. Only a positive original speed makes sense, so the answer is s = 25 mph.